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Finding the Third Proportional to 35,618 and 76,177

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Solution

The third proportional to 35,618 and 76,177 is: 162,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,618 : 76,177 = 76,177 : x
  2. Step 2: Convert to fraction form
    35,618/76,177 = 76,177/x
  3. Step 3: Cross multiply
    35,618x = 76,177 × 76,177
  4. Step 4: Simplify right side
    35,618x = 5,802,935,329
  5. Step 5: Solve for x
    x = 5,802,935,329/35,618
  6. Step 6: Final answer
    x = 162,921.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.